Using the point-slope form of a linear equation, we have:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is the given point.
Plugging in the values m = 5/6 and (x₁, y₁) = (9, -2), we get:
y - (-2) = (5/6)(x - 9)
Simplifying:
y + 2 = (5/6)(x - 9)
Multiplying both sides by 6:
6(y + 2) = 5(x - 9)
Expanding:
6y + 12 = 5x - 45
Subtracting 5x and 12 from both sides:
5x - 6y = 57
Therefore, the equation of the line with a slope of 5/6 and containing the point (9, -2) is 5x - 6y = 57.
Find an equation of the line having the given slope and containing the given point.
m = 5/6, (9, -2)
1 answer